1301640643968 has 384 divisors, whose sum is σ = 4300184609280. Its totient is φ = 340544618496.

The previous prime is 1301640643937. The next prime is 1301640643991. The reversal of 1301640643968 is 8693460461031.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1301640643968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62547421 + ... + 62568227.

It is an arithmetic number, because the mean of its divisors is an integer number (11198397420).

Almost surely, 2^{1301640643968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301640643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150092304640).

1301640643968 is an abundant number, since it is smaller than the sum of its proper divisors (2998543965312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1301640643968 is a wasteful number, since it uses less digits than its factorization.

1301640643968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20922 (or 20873 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 1301640643968 in words is "one trillion, three hundred one billion, six hundred forty million, six hundred forty-three thousand, nine hundred sixty-eight".